Search a number
-
+
100442440223411 = 11132109571868111
BaseRepresentation
bin10110110101101000010011…
…111110000100101010110011
3111011122012111100122121222212
4112311220103332010222303
5101131122104144122121
6553342341532122335
730104504206036106
oct2665502376045263
9434565440577885
10100442440223411
112a005443a82580
12b3225020063ab
1344078b2266900
141ab36236b273d
15b92b1201e25b
hex5b5a13f84ab3

100442440223411 has 48 divisors (see below), whose sum is σ = 119949049059840. Its totient is φ = 83367728496000.

The previous prime is 100442440223353. The next prime is 100442440223431. The reversal of 100442440223411 is 114322044244001.

It is a de Polignac number, because none of the positive numbers 2k-100442440223411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100442440223431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115268246 + ... + 116136356.

It is an arithmetic number, because the mean of its divisors is an integer number (2498938522080).

Almost surely, 2100442440223411 is an apocalyptic number.

100442440223411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100442440223411 is a deficient number, since it is larger than the sum of its proper divisors (19506608836429).

100442440223411 is a wasteful number, since it uses less digits than its factorization.

100442440223411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868828 (or 868815 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 100442440223411 its reverse (114322044244001), we get a palindrome (214764484467412).

The spelling of 100442440223411 in words is "one hundred trillion, four hundred forty-two billion, four hundred forty million, two hundred twenty-three thousand, four hundred eleven".

Divisors: 1 11 13 109 143 169 571 1199 1417 1859 6281 7423 15587 18421 62239 81653 96499 202631 684629 809107 868111 1061489 8900177 9549221 10518391 11285443 94624099 115702301 124139873 146710759 495691381 1040865089 1230113287 1613818349 5452605191 6443987953 13531246157 15991472731 54030360529 70883867483 83771843389 175906200041 594333965819 702394686877 921490277279 7726341555647 9131130929401 100442440223411